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Questions  

If tan1x+2cot1x=2π3, then x=

a
3
b
3
c
2
d
3−13+1

detailed solution

Correct option is B

We have,tan−1⁡x+2cot−1⁡x=2π3⇒tan−1⁡x+2π2−tan−1⁡x=2π3⇒tan−1⁡x=π3⇒x=3

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